Find the LCM of 578, 132, 990, 113, 913 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 578, 132, 990, 113, 913. So, keep reading to learn more.
Given numbers are 578,132,990,113,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,132,990,113,913 is 5366851380.
Find LCM of 578,132,990,113,913 with Prime Factorization
2 | 578, 132, 990, 113, 913 |
3 | 289, 66, 495, 113, 913 |
11 | 289, 22, 165, 113, 913 |
289, 2, 15, 113, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 289 x 2 x 15 x 113 x 83 = 5366851380
Therefore, the lowest common multiple of 578,132,990,113,913 is 5366851380.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
578 x 132 x 990 x 113 x 913 = 7792668203760
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
578 : 1, 2, 17, 34, 289, 578
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
113 : 1, 113
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,132,990,113,913, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
132:2x 2x 3x 11
990:2x 3x 3x 5x 11
113:113
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 7792668203760/(1x1452)
LCM = 7792668203760/1452
LCM = 5366851380
Thus, we can understand that the LCM of 578,132,990,113,913 is 5366851380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 132, 990, 113, 913?
Answer: LCM of 578, 132, 990, 113, 913 is 5366851380.
2. How to calculate the LCM of 578, 132, 990, 113, 913?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 578, 132, 990, 113, 913.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.